Electron initially had zero momentum. After colliding with a photon, it gained momentum due to the transfer of momentum. This demonstrates the wave-particle duality of light.
a. Yes, the electron has momentum after being hit by the light particle. This is because momentum is defined as the product of mass and velocity, and even though electrons are very small in mass, they still have mass and can therefore have momentum. In this case, the photon (light particle) transferred some of its momentum to the electron, causing it to move.
b. Yes, the electron has momentum and is moving after being hit by the light particle. As mentioned in the previous paragraph, the photon transferred some of its momentum to the electron, causing it to move.
c. Based on the fact that the electron received its velocity from the photon, we can infer that light particles also have momentum. In fact, it was later discovered that photons have both momentum and energy, even though they have no mass. This is because photons are made up of electromagnetic waves, which have both electric and magnetic fields that can transfer energy and momentum.
So, when a photon hits an electron, it can transfer some of its momentum to the electron and cause it to move. This concept is known as the wave-particle duality of light, where light can behave as both a wave and a particle.
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Starting with H = U + PV show that for an ideal gas,Cp = Cv + Nk. (This relies On the fact that H and U are independent of pressure and volume so dH /dT (dH/dT)p and dU /dT = (dU/dT)v )
For an ideal gas, Cp = Cv + Nk starting with H = U + PV and using the fact that H and U are independent of pressure and volume.
Starting with H = U + PV, we can take the partial derivative of both sides with respect to temperature (keeping pressure constant) to get:
dH/dT = dU/dT + P(dV/dT)
But for an ideal gas, we know that P(dV/dT) = Nk, where N is the number of molecules and k is Boltzmann's constant. This is because an ideal gas follows the ideal gas law PV = NkT, which can be rearranged to P = Nk/V and then differentiated with respect to temperature to get P(dV/dT) = Nk.
So substituting this in, we get:
dH/dT = dU/dT + Nk
Now, we also know that for an ideal gas, U only depends on temperature (not pressure or volume), so dU/dT = (dU/dT)v. Similarly, H only depends on temperature and pressure (not volume), so dH/dT = (dH/dT)p.
Therefore, we can rewrite the equation as:
(dH/dT)p = (dU/dT)v + Nk
And using the definition of heat capacity at constant pressure (Cp) and constant volume (Cv), we have:
Cp = (dH/dT)p and Cv = (dU/dT)v
So we can write:
Cp = Cv + Nk
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4. 2 Water vapour is a gas. Explain the difference and similarities between water in the vapour
form and in the liquid form in terms of the kinetic molecular theory (KMT).
The kinetic molecular theory (KMT) describes the behavior of particles in a substance.
According to KMT, particles in both water vapor and liquid water are in constant motion and have kinetic energy. However, the particles in water vapor have more kinetic energy than those in liquid water because they are at a higher temperature.
As a result, the particles in water vapor are farther apart and have a higher average speed than the particles in liquid water. Additionally, water vapor and liquid water have different arrangements of particles.
In water vapor, the particles are not closely packed and are free to move, while in liquid water, the particles are tightly packed and have less freedom of movement.
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I will mark you brainlist!
what do you think would happen if this froest ecosystem experienced an extreme drought that cut the popluation of primary producers in half?
If the forest ecosystem experienced an extreme drought that cut the population of primary producers in half, it would have a significant impact on the food chain and the overall health of the ecosystem.
Primary producers, such as plants and trees, are the foundation of the food chain, and without them, the entire ecosystem would suffer.
The animals that rely on these primary producers for food would also experience a decline in population, which could ultimately lead to a collapse of the food chain.
Additionally, the reduction in primary producers could lead to increased soil erosion, as the roots of the plants help to stabilize the soil. The loss of vegetation could also lead to an increase in carbon dioxide levels, as there would be fewer plants to absorb it through photosynthesis.
Overall, an extreme drought that cut the population of primary producers in half would have far-reaching consequences for the forest ecosystem, and it would take many years for the ecosystem to recover.
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Which has the longest wavelength and, therefore, the lowest frequency/energy?.
The electromagnetic wave with the longest wavelength and lowest frequency/energy is radio waves.
The electromagnetic spectrum encompasses a range of waves with varying wavelengths and frequencies. At one end of the spectrum are radio waves, which have the longest wavelengths and lowest frequencies. As we move along the spectrum towards shorter wavelengths and higher frequencies, we encounter other types of waves such as microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.
Radio waves are commonly used for communication, including radio broadcasting, television signals, wireless networks, and radar. They have wavelengths ranging from several millimeters to hundreds of kilometers. Due to their long wavelengths, radio waves carry less energy compared to waves with shorter wavelengths, such as visible light or X-rays.
It's important to note that even though radio waves have low energy and long wavelengths, they are still part of the electromagnetic spectrum and can be used for various practical applications in communication and technology.
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The microwave transmitters that we use have a frequency of about 10 ghz. What is the approximate wavelength?.
The approximate wavelength of a 10 GHz microwave transmitter is 3 centimeters.
The approximate wavelength of a microwave transmitter with a frequency of 10 GHz can be calculated using the formula:
wavelength = speed of light / frequency
where the speed of light is approximately 3.00 × 10^8 meters per second.
So, the wavelength of a 10 GHz microwave transmitter would be:
wavelength = 3.00 × 10^8 m/s / 10 × 10^9 Hz
wavelength = 0.03 meters or 3 centimeters
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You want to determine the frictional torque of the engine’s bearings by graphing the data. Select the appropriate variables to graph on each axis that will produce a straight-line graph with a slope that is related to the frictional torque.
To determine the frictional torque of the engine's bearings by graphing the data, we need to select appropriate variables to plot on each axis that will produce a straight-line graph with a slope related to the frictional torque.
We know that the frictional torque is directly proportional to the frictional force acting on the bearings. Therefore, one of the variables we should plot on the y-axis is the frictional force. The frictional force is usually measured using a load cell or a torque sensor.
On the other hand, the other variable we should plot on the x-axis is the rotational speed of the engine. The rotational speed of the engine can be measured using a tachometer or a frequency counter.
The reason we choose these two variables is that the frictional force acting on the bearings usually increases linearly with the rotational speed of the engine.
Therefore, plotting the frictional force against the rotational speed of the engine should produce a straight-line graph with a slope related to the frictional torque.
Once we have obtained the straight-line graph, we can calculate the frictional torque by finding the slope of the graph.
The slope of the graph represents the change in the frictional force per unit change in the rotational speed of the engine. Therefore, the slope of the graph can be multiplied by the radius of the bearings to obtain the frictional torque.
In conclusion, to determine the frictional torque of the engine's bearings by graphing the data, we should plot the frictional force against the rotational speed of the engine, as this should produce a straight-line graph with a slope related to the frictional torque.
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a bullet is fired horizontally with an initial velocity of 800 m/s at a target located 300 m from the rifle.note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part.how much time is required for the bullet to reach the target? the time required for the bullet to reach the target is s.
Then it takes 0.375 seconds for the bullet to reach the target.
To determine the time required for the bullet to reach the target, we can use the formula t = d/v, where t is time, d is distance, and v is velocity. In this case, the distance is 300 meters and the velocity is 800 m/s.
Substituting these values into the formula, we get:
t = 300/800
t = 0.375 seconds
It is important to note that this calculation assumes that there is no air resistance acting on the bullet. In reality, air resistance would cause the bullet to slow down over time, so the actual time required for the bullet to reach the target may be slightly longer than calculated.
Additionally, it is crucial to always follow proper firearm safety protocols and regulations when handling firearms.
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7. the diagram below represents a circuit consisting of two resistors connected to a source of potential difference. what is the current through the 20.-ohm resistor?
The formula to calculate the current through the 20-ohm resistor in a circuit consisting of two resistors connected to a source of potential difference is given by Ohm's law.
The total resistance in circuit is sum of the two resistors. The current through the 20-ohm resistor can be calculated by dividing voltage of the source by the total resistance of the circuit, then multiplying that value by the inverse of the resistance of the 20-ohm resistor. In mathematical terms, the formula is I = V/(R1 + R2) x (1/R2), where I is the current, V is voltage, R1 and R2 are the resistances of the two resistors, and 1/R2 is the inverse of the resistance of the 20-ohm resistor.
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--The complete Question is, Assuming the source of potential difference and the values of the resistors are known, what is the formula to calculate the current through the 20-ohm resistor in a circuit consisting of two resistors connected to a source of potential difference? --
Suppose that a 15.0 cm x 5.00 cm plane rectangular loop of wire has 12 turns. A magnetic field of 2.50 T is normal to the plane of the loop. This field is reduced to 1.00 T at a uniform rate in 3.00 ms. What is the current induced in the loop if its total resistance is 2.00 Ω?
The current induced in the loop if its total resistance is 2.00 Ω is 0.0188 A
How to solve for the current[tex]BAcos(theta) = (2.50 T)(0.15 m)(0.05 m)*cos(0)[/tex]
= 0.01875 Wb
When the magnetic field is reduced to 1.00 T, the magnetic flux through the loop changes to:
[tex]phi_2 = BAcos(theta) = (1.00 T)(0.15 m)(0.05 m)*cos(0)[/tex]
= 0.0075 Wb
The rate of change
[tex]= (0.0075 Wb - 0.01875 Wb) / (3.00 ms)[/tex]
[tex]= -3.125*10^{-3} Wb/s[/tex]
[tex]= -(12)(3.125*10^{-3} Wb/s)[/tex]
= -0.0375 V
The current induced in the loop is given by Ohm's law:
I = EMF / R
where R is the total resistance of the loop. Plugging in the values, we get:
I = (-0.0375 V) / (2.00 Ω) = -0.0188 A
The current induced in the loop if its total resistance is 2.00 Ω is 0.0188 A
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Two objects of the same mass travel in opposite directions along a horizontal surface. Object x has a speed of 5ms and object y has a speed of 5ms, as shown in the figure. After a period of time, object x collides with object y. In scenario 1, the objects stick together after the collision. In scenario 2, the objects do not stick together after the collision
After the collision, the two objects will stick together and move with a velocity of 5ms in the same direction.
What is collision?Collision is a physical phenomenon that occurs when two or more objects interact with enough force to cause damage to one or more of the objects. This can occur when two objects come into contact with each other, or when two objects are moving at different speeds and collide with each other. Collisions can be caused by a variety of factors, including the speed and mass of the objects, the angle of their contact, and the surface area of the objects.
Scenario 1:
After the collision, the two objects will stick together and move with a velocity of 5ms in the same direction.
Scenario 2:
After the collision, the two objects will bounce off each other and move in opposite directions with the same velocity of 5ms.
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A flashlight can be made that is powered by the induced current from a magnet moving through a coil of wire. The coil and magnet are inside a plastic tube that can be shaken causing the magnet to move back and forth through the coil. Assume the magnet has a maximum field strength of 0. 05 T.
Make reasonable assumptions and specify the size of the coil and the number of turns necessary to light a standard 1-watt, 3-V flashlight bulb
According to the question the length of the coil is (0.004719 × 1).
What is length?Length is a measurement of the distance between two points. It can refer to a physical distance, such as the length of a road or the length of a desk, or it can refer to a temporal distance, such as the length of a movie or the length of a song. Length is usually measured in units such as meters, kilometers, or feet, and can also be measured in time units such as seconds, minutes, or hours. In mathematics, length is also used to describe the size of a line, curve, or circle.
Assuming the magnetic field is uniform throughout the coil and that the current induced in the coil is directly proportional to the field strength, the number of turns in the coil can be calculated using the formula:
N = (V × B) / 4πf
Where:
N = number of turns
V = voltage of the flashlight bulb (3 V)
B = maximum field strength of the magnet (0.05 T)
f = frequency of the magnet moving through the coil (assume to be 1 Hz)
Therefore, the number of turns in the coil is:
N = (3 × 0.05) / (4π × 1) = 0.004719 turns
Assuming the coil is made from copper wire with a cross-sectional area of 1 mm2, the length of the coil is given by the formula:
L = N × A / π
Where:
L = length of the coil
N = number of turns in the coil (0.004719)
A = cross-sectional area of the wire (1 mm2)
Therefore, the length of the coil is:
L = (0.004719 × 1)
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What type of fit would describe the following situations. a. the cap of a ball-point pen b. the lead in a mechanical lead pencil, at the tip c. the bullet in a barrel of a gun
a. The fit between the cap and a ball-point pen can be described as a "snug" or "friction" fit, as the cap is designed to stay securely in place when not in use.
b. The fit of the lead in a mechanical pencil at the tip can be described as a "precision" fit, as the lead needs to be held firmly and accurately within the pencil to allow for smooth and consistent writing.
c. The fit of a bullet in the barrel of a gun can be described as a "tight" or "interference" fit, as the bullet must be in close contact with the barrel to ensure accurate firing and prevent gas leakage during discharge.
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why do you think it is not wise to hit hard on someone back?
The smallest separation between earth and jupiter is 588 million km while the largest separation is 968 million km. given that jupiter has a physical diameter of 140,000 km, what are the largest and smallest angular sizes of jupiter as seen from earth?
The largest angular size of Jupiter as seen from Earth is 0.022 degrees and the smallest angular size is 0.013 degrees.
To calculate the angular size of Jupiter as seen from Earth, we can use the formula:
Angular size = [tex](\frac{diameter of object}{distance to object})[/tex]×(180° / π)
For the smallest separation between Earth and Jupiter (588 million km), the angular size of Jupiter would be:
Angular size =[tex](\frac{140,000 km}{588 million km})[/tex]×(180° / π) = 0.022 degrees or approximately 1.3 arcminutes
For the largest separation between Earth and Jupiter (968 million km), the angular size of Jupiter would be:
Angular size = [tex](\frac{140,000 km}{968 million km})[/tex]×(180° / π)= 0.013 degrees or approximately 0.8 arcminutes.
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A coil with 20 turns of wire is wrapped around a tube with a cross-sectional area of 1. 0 m2. A magnetic field
is applied at a right angle at 0. 50 T. If the coil is pulled out of the magnetic field in 5 seconds, what emf is
induced in the coil?
The emf induced in the coil is 2.0 volts.
To calculate the emf induced in the coil with 20 turns of wire, wrapped around a tube with a cross-sectional area of 1.0 m², and a magnetic field applied at a right angle at 0.50 T, when it is pulled out of the magnetic field in 5 seconds, we can use Faraday's Law of Electromagnetic Induction.
The formula for Faraday's Law is:
emf = -N * (ΔΦ/Δt)
where
emf is the induced electromotive force,
N is the number of turns in the coil (20),
ΔΦ is the change in magnetic flux, and
Δt is the time it takes to change the flux (5 seconds).
First, we need to calculate the change in magnetic flux (ΔΦ). Since the coil is completely pulled out of the magnetic field, the final magnetic flux will be zero.
The initial magnetic flux (Φ_initial) can be calculated using the formula:
Φ_initial = B * A
where
B is the magnetic field strength (0.50 T) and
A is the cross-sectional area of the tube (1.0 m²).
Φ_initial = 0.50 T * 1.0 m²
= 0.50 Wb (Weber)
Now, we can calculate the change in magnetic flux (ΔΦ):
ΔΦ = Φ_final - Φ_initial
= 0 Wb - 0.50 Wb
= -0.50 Wb
Next, we can plug the values into Faraday's Law formula:
emf = -20 * (-0.50 Wb / 5 s)
= 20 * (0.10 V)
= 2.0 V
So, the emf induced in the coil is 2.0 volts.
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how far apart would two 100 kg persons need to be so that the force they exert on each other is equal to 1n? you can assume they are point masses, having mass but no size.
Two 100 kg point masses would need to be separated by a distance of 1.4 meters in order to experience a force of 1N between them.
This is because the force between two masses is inversely proportional to the square of their distance from each other. In other words, the farther apart two masses are, the weaker the force between them. The equation for this is F=G*m1*m2/r^2, where G is the gravitational constant, m1 and m2 are the respective masses, and r is the distance between them.
When m1 and m2 are 100 kg and F is 1N, it can be solved to find r = 1.4 meters.
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Electromagnetic waves give off energy. The electromagnetic spectrum shows us e______ the wavelength the _____ the frequency and the_____ the energy the wave carries.
Electromagnetic waves give off energy. The electromagnetic spectrum shows us that the shorter the wavelength, the higher the frequency, and the greater the energy the wave carries.
What is electromagnetic waves?Electromagnetic waves are an energized form of oscillating electric on magnetic fields travelling in a cosmic distance. Across the electromagnetic spectrum is an extensive range of frequencies that encompass the entirety of electromagnetic radiation, including lower frequency radios waves to elevated frequency gamma rays.
The wavelength of an electromagnetic wave is the consecution of two successive crests or troughs in the wave's measurement, while its frequency is counted by the total amount of oscillations passing through a mark per second, determined via Hertz (Hz).
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A marble is thrown norizontally from a tarble top with a velocity of 1. 50m/s. The marble falls 0. 70m away from te table'ede. How high is the lab table? what is the marble's velocity just before it hits the floor
The marble's velocity just before it hits the floor is approximately 4.83 m/s.
To find the height of the lab table, we can use the following terms:
1. Horizontal velocity (Vx): 1.50 m/s
2. Horizontal distance (d): 0.70 m
First, we need to find the time it takes for the marble to fall 0.70m horizontally. We can do this using the equation: d = Vx * t
0.70 m = 1.50 m/s * t
t = 0.70 m / 1.50 m/s = 0.4667 s
Now, we can use this time to find the height (h) of the table using the vertical motion equation: h = 0.5 * g * t^2, where g is the acceleration due to gravity (9.81 m/s^2).
h = 0.5 * 9.81 m/s^2 * (0.4667 s)^2
h ≈ 1.067 m
So, the height of the lab table is approximately 1.067 meters.
To find the marble's velocity just before it hits the floor, we need to calculate its vertical velocity (Vy) using the equation: Vy = g * t
Vy = 9.81 m/s^2 * 0.4667 s
Vy ≈ 4.57 m/s
Now, we can find the marble's total velocity (V) using the Pythagorean theorem: V = √(Vx^2 + Vy^2)
V = √((1.50 m/s)^2 + (4.57 m/s)^2)
V ≈ 4.83 m/s
Therefore, the marble's velocity just before it hits the floor is approximately 4.83 m/s.
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If you double the kinetic energy of a nonrelativistic particle, how does its de Broglie wavelength change? The wavelength Choose your answer here by a factor of Type your answer here [factor answer should be given to one decimal place (ex. 1. 5)]
The de Broglie wavelength of a particle is inversely proportional to its momentum, so if the particle's kinetic energy is doubled. This means that the de Broglie wavelength will be halved, so the factor answer is 0.5.
What is wavelength?Wavelength is the distance between two successive points of a propagating wave which have the same amplitude and phase. Wavelengths are typically measured in meters, centimeters, or nanometers, depending on the type of wave. Wavelengths range from radio waves, which have the longest wavelength, to gamma rays, which have the shortest wavelength. Waves with different wavelengths have different properties like speed, frequency, and energy. Wavelength is an important factor in determining the behavior of a wave, such as its reflection, refraction, interference, and diffraction. Wavelength also determines the type of electromagnetic radiation a wave produces, such as visible light, ultraviolet radiation, or infrared radiation. Wavelength is a fundamental property of waves and is used to describe the properties of light, sound, and other forms of energy.
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A particle is confined to move on the surface of a circular cone with its axis on the vertical z axis, vertex at the origin (pointing down), and half-angle a. (a) Write down the Lagrangian L in terms of the spherical polar coordinates r and 0. (b) Find the two equations of motion. Interpret the 0 equation in terms of the angular momentum tz, and use it to eliminate 4 from the r equation in favor of the constant fz. Does your r equation make sense in the case that = 0? Find the value ro of r at which the particle can remain in a horizontal circular path. (c) Suppose that the particle is given a small radial kick, so that r(t) = ro E(t), where E(t) is small. Use the r equation to decide whether the circular path is stable. If so, with what frequency does r oscillate about r0?
The Lagrangian is then given by L = T - V.
(a) Writing down the Lagrangian (L): The Lagrangian is the difference between the kinetic and potential energies of the system.
In this case, the particle is confined to move on the surface of a circular cone, so we need to express the kinetic and potential energies in terms of the spherical polar coordinates (r, θ).
The kinetic energy can be expressed as T = (1/2) m (dr/dt)^2 + (1/2) m r^2 (dθ/dt)^2, where m is the mass of the particle.
The potential energy can be expressed as V = m g r cosθ, where g is the acceleration due to gravity.
The Lagrangian is then given by L = T - V.
(b) Finding the equations of motion: The equations of motion can be obtained by applying the Euler-Lagrange equations to the Lagrangian L.
This involves taking partial derivatives of L with respect to the generalized coordinates (r, θ) and their derivatives (dr/dt, dθ/dt), and then solving the resulting equations.
One of the resulting equations of motion will be related to the angular momentum tz. It can be interpreted as the conservation of angular momentum around the z-axis.
The r equation of motion can be used to eliminate θ from the r equation, in favor of a constant fz.
The r equation should make physical sense even when θ = 0.
To find the value ro of r at which the particle can remain in a horizontal circular path, you would need to analyze the equilibrium conditions of the system and solve for r.
(c) Analyzing stability and frequency of oscillation: By assuming r(t) = ro + E(t), where E(t) is a small radial perturbation from the equilibrium position ro, you can substitute this expression into the r equation of motion to determine whether the circular path is stable.
Stability can be determined by examining the behavior of the perturbation E(t) over time.
The frequency of oscillation about ro can be obtained by analyzing the form of the solution E(t) and determining the frequency at which it oscillates.
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What is the frequency of red light, which has a wavelength of around 6. 35 * 10 ^ 7 - 7 m? (Remember: speed of light is 3*10^ 1 8 m/s) Be sure to show all work
To calculate the frequency of red light, we need to use the formula:
frequency = speed of light / wavelength
The speed of light is given as 3*10^18 m/s and the wavelength of red light is around 6.35*10^-7 m. Plugging these values into the formula, we get:
frequency = 3*10^18 / 6.35*10^-7
frequency = 4.72*10^14 Hz
Therefore, the frequency of red light is approximately 4.72*10^14 Hz.
Frequency is a measure of how many cycles of a wave occur in one second. In the case of light, it refers to how many times a light wave oscillates per second. Wavelength, on the other hand, refers to the distance between two consecutive peaks or troughs of a wave. It is related to frequency through the speed of light, which is a constant in vacuum.
In summary, the frequency of red light is determined by its wavelength and the speed of light. The calculation involves dividing the speed of light by the wavelength of the light. This calculation can be used to determine the frequency of any other type of light, provided its wavelength is known.
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Based on information in the article, which of these
statements is TRUE?
A. The sun's gravity makes the planets orbit
around it.
B. Earth's gravity pulls floating astronauts to
Earth's floor.
C. Only large objects have a pull of gravity on
Earth.
D. Gravity keeps the planets moving in a straight
line.
Based on information the statement that is true is A. The sun's gravity makes the planets orbit around it.
What is the justification?Gravity is a fundamental force of nature that exists between all objects with mass or energy. The force of gravity depends on the mass of the objects and the distance between them. In the case of the solar system, the sun's gravity is the dominant force that controls the motion of the planets.
The planets are constantly pulled towards the sun by its gravitational force, causing them to orbit around it in elliptical paths. This is known as Kepler's laws of planetary motion.
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How should you move a bar magnet to cause an electric current to flow in a
coil of wire?
a. move the magnet straight through the center of the wire coil.
b. move the magnet repeatedly toward and away from the wire coil.
c. move the magnet and the wire coil in a rotating pattern.
d. move the magnet in a straight path along the outside of the wire coil.
the correct answer is a!
Moving a magnet straight through the center of a wire coil is a common way to induce an electric current in the coil. Option A is correct.
Moving a bar magnet straight through the center of a wire coil will cause an electric current to flow in the coil. This is due to Faraday's law of electromagnetic induction, which states that a change in magnetic field induces an electromotive force (EMF) in a closed circuit. When the magnet moves through the wire coil, it creates a changing magnetic field, which in turn induces a current in the wire.
This effect can be used to generate electricity in power plants by rotating a magnet inside a wire coil, which induces a current that can be used to power homes and businesses. It is also the principle behind electric generators and electric motors, which use electromagnetic induction to convert mechanical energy into electrical energy or vice versa. Option A is correct.
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19. Evaluate the frequency of the third harmonics of a
closed pipe of length 0. 3m. [speed of sound in air = 340ms-']
(a) 1416. 7Hz (b) 850. 0Hz(c) 1511. 1 Hz(d) 283. 3 Hz
The frequency of the third harmonic is approximately 1416.7 Hz (option a).
The frequency of the third harmonics of a closed pipe can be calculated using the formula:
f = (2n + 1) * (v / 4L)
Where:
f = frequency of the harmonic
n = harmonic number (n = 2 for the third harmonic)
v = speed of sound in air (340 m/s)
L = length of the closed pipe (0.3 m)
Using the given values, we can calculate the frequency:
f = (2 * 2 + 1) * (340 / 4 * 0.3)
f = (5) * (340 / 1.2)
f = 5 * 283.3333
f ≈ 1416.7 Hz
So, the frequency of the third harmonic is approximately 1416.7 Hz (option a).
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13. If PE + KE; = PE, + KE;, why do problems involving mechanical energy fail to meet his rule with an exact answer?
The reason why problems involving mechanical energy fail to meet this rule with an exact answer is because mechanical energy is not a conserved quantity in real-world situations.
The law of conservation of mechanical energy states that the total mechanical energy of a closed system, which includes both potential energy(PE) and kinetic energy(KE), remains constant as long as no external forces act on the system.
In an ideal situation, where there is no friction or other external forces acting on the system, the total mechanical energy would remain constant. However, in most real-world situations, there are always external forces present, such as air resistance or friction, that cause some of the mechanical energy to be lost or converted into other forms of energy such as heat or sound. Therefore, it is impossible to have an exact answer when dealing with mechanical energy problems in real-world situations.
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Assuming the precision, P, with which this electromagnetic radiation can shape the cornea is inversely proportional to wavelength (the shorter the wavelength, the higher the precision), how much more precise can this ultraviolet light be than the shortest wavelength of visible light, which is 380 nm
From the relation between precision and wavelength, the precision of UV light is 90.95 % times the precision of visible light.
Given:
Wavelength, λ = 380 nm
Laser wavelength, λ₁ = 199 nm
The relationship between precision and wavelength is:
P ∝ 1/λ
Precision = (P - P₁)÷P₁ ×100
Precision(UV) = (λ₁ ÷ λ) - 1 ×100
Precision(UV) = (380 ÷ 199 - 1) ×100
Precision(UV) = 90.95 %
Hence, the precision of UV light is 90.95 % the precision of visible light.
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ASAP!! Can someone help me with this? I put the attachment below.
A coil set-up without an iron core, featuring thirty loops, functioned as the control in the experiments. This configuration served as a baseline to compare the outcomes all other setups contained within the experiment.
How to explain the informationIt is essential that any testing environment deploys a control to create a standard of reference when assessing alterations made to the conditions of the experiment.
The inclusion of an iron core to the coiling design led to the most significant modifications being brought about for the strength of the electromagnet. These changes were evidence by the rise in paperclips collected when inserting an iron nucleus into both the thirty-loop and sixty-loop configurations.
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Compare and contrast compounds and mixtures (select all that are true):
Compounds are pure substances, but mixtures are not.
When two elements bond together into a compound they have new properties.
o When two substances are mixed together in a mixture, they keep their individual properties.
Compounds are physically combined.
O Mixtures are chemically combinded.
Compounds are chemically combined pure substances with new properties, while mixtures are physically combined substances that retain their individual properties.
Compare and contrast compounds and mixtures (select all that are true):
1. Compounds are pure substances, but mixtures are not.
This statement is true. Compounds are pure substances formed by the chemical combination of two or more elements in a fixed ratio, while mixtures are combinations of two or more substances that are not chemically combined and can be physically separated.
2. When two elements bond together into a compound they have new properties.
This statement is true.
When elements chemically bond to form a compound, they create a substance with unique properties different from the individual elements.
3. When two substances are mixed together in a mixture, they keep their individual properties.
This statement is true.
In a mixture, the substances retain their individual properties because they are not chemically combined.
4. Compounds are physically combined.
This statement is false.
Compounds are chemically combined, as elements form chemical bonds to create a compound with new properties.
5. Mixtures are chemically combined.
This statement is false.
Mixtures are physically combined, as the substances in a mixture are not chemically bonded and retain their individual properties.
In summary, compounds are chemically combined pure substances with new properties, while mixtures are physically combined substances that retain their individual properties.
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When energy leaves the sun’s core, it travels through the radiative zone in the form of ___.
a. liquids
b. coronas
c. electromagnetic waves
d. convection currents
When energy leaves the sun's core, it travels through the radiative zone in the form of c. electromagnetic waves.
This is also called as radiative energy. The radiative zone is the second zone of the sun, and it is the region where the energy created by nuclear reactions in the core is transferred through the Sun's outer layers. In this zone, the energy moves in the form of photons, which are particles of light that carry the energy.
The radiative zone is characterized by the high temperature and density of its materials, which cause the photons to scatter frequently before they can escape the zone. The photons that make it through the radiative zone eventually reach the convective zone, where they transfer their energy to the gas particles that rise and fall in the Sun's atmosphere through convection currents. These currents help distribute the energy from the core to the outer layers of the Sun and eventually to space.
In summary, the correct answer to the question is c. electromagnetic waves, which travel through the radiative zone as particles of light or photons.
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1. A small block, with a mass of 0. 05 kg compresses a spring with spring constant 350 N/m
a distance of 4 cm. It is released from rest, then slides around the loop and up the incline
before momentarily comes to rest at point A. The radius of the loop is 0. 1 m.
a. Find the elastic potential energy of the block at point D.
b. Find the velocity of the block at point C.
Find the velocity of the block at the top of the loop at point B.
d. What is the height of point A?
e. Is any work done by the block? Why or why not?
The elastic potential energy of the block at point D is 0.28J, the velocity of the block at point C is 1.21 m/s, the velocity of the block at the top of the loop at point B is 2.19 m/s, the height of point A is 0.51m and no work is done by the block.
a. The elastic potential energy of the block at point D can be found using the equation:
Elastic potential energy = [tex](1/2) \times k \times x^2[/tex]
where k is the spring constant and x is the distance the spring is compressed. Substituting the given values, we get:
Elastic potential energy [tex]= (1/2) \times 350 N/m \times (0.04 m)^2[/tex] = 0.28 J
b. The velocity of the block at point C can be found using the principle of conservation of mechanical energy, which states that the total mechanical energy (kinetic + potential) of a system is constant if no external forces act on it.
The mechanical energy at point D is equal to the elastic potential energy, and at point C it is equal to the sum of the elastic potential energy and the gravitational potential energy:
[tex](1/2) \times m \times v^2 = (1/2) \times k \times x^2 + m \times g \times h[/tex]
where v is the velocity, h is the height above point D, and g is the acceleration due to gravity. Substituting the given values, we get:
[tex](1/2) \times 0.05 kg \times v^2[/tex]
[tex]= (1/2) \times 350 N/m \times (0.04 m)^2 + 0.05 kg \times 9.8 m/s^2 \times (0.1 m - 0.04 m)[/tex]
Solving for v, we get:
v = 1.21 m/s
c. The velocity of the block at the top of the loop at point B can be found using the principle of conservation of mechanical energy again. The mechanical energy at point C is equal to the mechanical energy at point B:
[tex](1/2) \times m \times v^2 = m \times g \times h[/tex]
where h is the height above point C.
Substituting the given values, we get:
[tex](1/2) \times 0.05 kg \times (1.21 m/s)^2[/tex]
[tex]= 0.05 kg \times 9.8 m/s^2 \times (0.1 m + 0.04 m)[/tex]
Solving for v, we get:
v = 2.19 m/s
d. The height of point A can be found using the conservation of mechanical energy again. The mechanical energy at point B is equal to the mechanical energy at point A:
[tex](1/2) \times m \times v^2 = m \times g \times h[/tex]
where h is the height above point B. Substituting the given values, we get:
[tex](1/2) \times 0.05 kg \times (2.19 m/s)^2 = 0.05 kg \times 9.8 m/s^2 \times h[/tex]
Solving for h, we get:
h = 0.51 m
e. No work is done by the block because the only force acting on it is the gravitational force, which is a conservative force. Conservative forces do not dissipate energy as heat or sound, so the total mechanical energy of the block is conserved.
In summary, the elastic potential energy of the block at point D can be found using the spring constant and distance compressed. The velocity of the block at point C and the top of the loop at point B can be found using the conservation of mechanical energy.
The height of point A can also be found using the conservation of mechanical energy. No work is done by the block because the gravitational force is a conservative force.
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